sjwsti the Answer is both Yes and No ......
As long as he is still a Threat you are suppost/required to shoot to kill
You are never required to shoot anyone. You have a right to self-defense, and you have a right to defend a third party, but generally speaking you no duty to exercise those rights.
Nor are you ever required to "shoot to kill." However, if you intentionally shoot someone with a firearm, that is some evidence of your intent to kill them, as everyone knows that inflicting an injury with that sort of instrument is very likely to result in serious bodily injury and death.
If he/she becomes wounded (IE: like in combat he/she then becomes a Noncombatant) the threat is considered under Nebraska Law to have been removed and the Use of Deadly force no longer applies or is it authorized by law.
This is only true if it is apparent that the threat justifying the use of deadly force has ended.
This goes Directly to When you can or are Authorized the use of deadly force (IE: your Weapon)
as i understand it there are only 3 times it is authorized ....
(1&2) The Defence or your or another persons life.
(3.) to stop a Kidnapping.
This isn't quite right. In the state of Nebraska, you are authorized to use deadly force as a private individual if you or a third party is facing an imminent threat of death, serious bodily harm, kidnapping, or involuntary sexual intercourse.
Defence of Pets or Propriety is NOT allowed and you will end up in Jail for it.
Deadly force is prohibited for defense of property, but this does not mean that no force is allowed in defense of property. See
Neb. Rev. Stat. 28-1409, sections 1–3.